A generalized beta copula with applications in modeling multivariate long-tailed data
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- Frees, Edward W. & Shi, Peng & Valdez, Emiliano A., 2009. "Actuarial Applications of a Hierarchical Insurance Claims Model," ASTIN Bulletin, Cambridge University Press, vol. 39(1), pages 165-197, May.
- Klugman, Stuart A. & Parsa, Rahul, 1999. "Fitting bivariate loss distributions with copulas," Insurance: Mathematics and Economics, Elsevier, vol. 24(1-2), pages 139-148, March.
- Frees, Edward W. & Valdez, Emiliano A., 2008. "Hierarchical Insurance Claims Modeling," Journal of the American Statistical Association, American Statistical Association, vol. 103(484), pages 1457-1469.
- Liebscher, Eckhard, 2008. "Construction of asymmetric multivariate copulas," Journal of Multivariate Analysis, Elsevier, vol. 99(10), pages 2234-2250, November.
- McDonald, James B. & Xu, Yexiao J., 1995.
"A generalization of the beta distribution with applications,"
Journal of Econometrics, Elsevier, vol. 69(2), pages 427-428, October.
- McDonald, James B. & Xu, Yexiao J., 1995. "A generalization of the beta distribution with applications," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 133-152.
- McDonald, James B. & Butler, Richard J., 1990. "Regression models for positive random variables," Journal of Econometrics, Elsevier, vol. 43(1-2), pages 227-251.
- Vinh, Andrea & Griffiths, William E. & Chotikapanich, Duangkamon, 2010.
"Bivariate income distributions for assessing inequality and poverty under dependent samples,"
Economic Modelling, Elsevier, vol. 27(6), pages 1473-1483, November.
- Andrea Vinh & William E. Griffiths & Duangkamon Chotikapanich, 2010. "Bivariate Income Distributions for AssessingInequality and Poverty Under Dependent Samples," Department of Economics - Working Papers Series 1093, The University of Melbourne.
- Masaaki Sibuya, 1959. "Bivariate extreme statistics, I," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 11(2), pages 195-210, June.
- Cai, Jun & Tan, Ken Seng, 2007. "Optimal Retention for a Stop-loss Reinsurance Under the VaR and CTE Risk Measures," ASTIN Bulletin, Cambridge University Press, vol. 37(1), pages 93-112, May.
- Filippo Domma, 2009. "New Developments On The Use Of Bivariate Rodriguez-Burr Iii Distribution In Reliability Studies," Working Papers 200907, Università della Calabria, Dipartimento di Economia, Statistica e Finanza "Giovanni Anania" - DESF.
- Sun, Jiafeng & Frees, Edward W. & Rosenberg, Marjorie A., 2008. "Heavy-tailed longitudinal data modeling using copulas," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 817-830, April.
- Asimit, Alexandru V. & Furman, Edward & Vernic, Raluca, 2010. "On a multivariate Pareto distribution," Insurance: Mathematics and Economics, Elsevier, vol. 46(2), pages 308-316, April.
- Edward Frees & Emiliano Valdez, 1998. "Understanding Relationships Using Copulas," North American Actuarial Journal, Taylor & Francis Journals, vol. 2(1), pages 1-25.
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Keywords
Copulas Non-elliptical asymmetric dependence Tail dependence Long-tail regression Additive model;Statistics
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